What is the Least Common Multiple of 111 and 127?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 111 and 127 is 14097.
LCM(111,127) = 14097
Least Common Multiple of 111 and 127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 111 and 127, than apply into the LCM equation.
GCF(111,127) = 1
LCM(111,127) = ( 111 × 127) / 1
LCM(111,127) = 14097 / 1
LCM(111,127) = 14097
Least Common Multiple (LCM) of 111 and 127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 127. First we will calculate the prime factors of 111 and 127.
Prime Factorization of 111
Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:
111 = 31 × 371
Prime Factorization of 127
Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:
127 = 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 127.
LCM(111,127) = 31 × 371 × 1271
LCM(111,127) = 14097
Related Least Common Multiples of 111
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Related Least Common Multiples of 127
- LCM of 127 and 131
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